Page by Lisa 7a Summary: This page is designed to help you study for year 7 Maths revision (1.1-1.9). This revision includes basic whole number operations such as place value, addition, subtraction, multiplication, division and order of operations . This chapter is important to understand because it reflects on everyday situations.
Let's Get Strarted!
Place Value Our number system is called base 10. The value of the digit depends on where it is placed. For example, 5,746,312 is broken into different sections.
Millions
Hundred Thousands
Ten Thousands
Thousands
Hundreds
Tens
Units/Ones
5
7
4
6
3
1
2
Look at these examples to get a good understanding:
a)Find the value of 3 in 2834? b)Find the value of 9 in 7,896,543? c)Find the value of 2 in 2345? Addition SYMBOL: + WORDS: Add, Plus, Total Value. EXAMPLE: 1+1=2
Here are 2 Simple tips to understanding addition! Tip 1: Set and solve your equation like this:
Tip 2: Add numbers by columns. If the column adds to 10 or more, carry the 10's to the next column. Like this: HAVE A GO AT THESE EXAMPLES: a) 21+90 b) 2345+5432 c) 99+99 Subtraction SYMBOL: - WORDS: Take Away, Subtract, Minus EXAMPLE: 2-1=1
Here are two simple steps to undertanding subtraction! Tip 1: Set your equation out like this:
Tip 2: Subtract by columns. If the top number is less than the bottom carry a unit from the next column (top row). Like this: HAVE A GO AT THESE EXAMPLES: a) 76 - 56 b) 1234 -432 c) 98- 23
Multiplication SYMBOL: x WORDS: multiply, times, product EXAMPLE: 5x5=25 Use Your knowledge of times tables to help you complete the problem. Tip 1: Multiply the botton numbers by the top. Like this:
NOTE: put the smaller numbers on bottom to make it easier Tip 2: If the column adds up to more than 10, carry the unit to the next column. Like This:
Tip 3: When multiplying double digits, solve your problem like this: HAVE A GO AT THESE EXAMPLES: a) 45 x 6 b) 87 x 3 c) 12 x 4 Division SYMBOL: WORDS: how many times does it go into, how many groups of, divide EXAMPLE: Use your knowledge of times tables to complete the problem. Tip 1: Set your equation out like this:
Tip 2: If the number doesn't fit into the last number, it becomes the remainder.
HAVE A GO AT THESE EXAMPLES: a) 55 divided by 5 b) 121212 divided by 6 c) 83 divided by 4 Order of operations If an equation involves more than 1 operation we need to solve it in the accepted for the answer to be correct. For example, 2 + 5 x 2 = If we solve the addition first, the result would be 20. If we solve the Multiplication first, the result would be 12. The accepted answer is 12. To understand Order of Operations follow the BODMAS rule:
B rakets first OIf a fration of a number is required, you complete that next Division Multiplication Addition Subtraction
HAVE A GO AT THESE EXAMPLES:
a) 5 + 6 x 2 = b) 6 + (5-4)= c) 9 x 2 + 6 Answers:
Whole Numbers
Page by Lisa 7a
Summary:
This page is designed to help you study for year 7 Maths revision (1.1-1.9).
This revision includes basic whole number operations such as place value, addition, subtraction, multiplication, division and order of operations .
This chapter is important to understand because it reflects on everyday situations.
Let's Get Strarted!
Place Value
Our number system is called base 10. The value of the digit depends on where it is placed.
For example, 5,746,312 is broken into different sections.
Look at these examples to get a good understanding:
a)Find the value of 3 in 2834?
b)Find the value of 9 in 7,896,543?
c)Find the value of 2 in 2345?
Addition
SYMBOL: +
WORDS: Add, Plus, Total Value.
EXAMPLE: 1+1=2
Here are 2 Simple tips to understanding addition!
Tip 1:
Set and solve your equation like this:
Tip 2:
Add numbers by columns. If the column adds to 10 or more, carry the 10's to the next column.
Like this:
HAVE A GO AT THESE EXAMPLES:
a) 21+90
b) 2345+5432
c) 99+99
Subtraction
SYMBOL: -
WORDS: Take Away, Subtract, Minus
EXAMPLE: 2-1=1
Here are two simple steps to undertanding subtraction!
Tip 1:
Set your equation out like this:
Tip 2:
Subtract by columns. If the top number is less than the bottom carry a unit from the next column (top row).
Like this:
HAVE A GO AT THESE EXAMPLES:
a) 76 - 56
b) 1234 -432
c) 98- 23
Multiplication
SYMBOL: x
WORDS: multiply, times, product
EXAMPLE: 5x5=25
Use Your knowledge of times tables to help you complete the problem.
Tip 1:
Multiply the botton numbers by the top. Like this:
NOTE: put the smaller numbers on bottom to make it easier
Tip 2:
If the column adds up to more than 10, carry the unit to the next column. Like This:
Tip 3:
When multiplying double digits, solve your problem like this:
HAVE A GO AT THESE EXAMPLES:
a) 45 x 6
b) 87 x 3
c) 12 x 4
Division
SYMBOL:
WORDS: how many times does it go into, how many groups of, divide
EXAMPLE:
Use your knowledge of times tables to complete the problem.
Tip 1:
Set your equation out like this:
Tip 2:
If the number doesn't fit into the last number, it becomes the remainder.
HAVE A GO AT THESE EXAMPLES:
a) 55 divided by 5
b) 121212 divided by 6
c) 83 divided by 4
Order of operations
If an equation involves more than 1 operation we need to solve it in the accepted for the answer to be correct.
For example, 2 + 5 x 2 =
If we solve the addition first, the result would be 20.
If we solve the Multiplication first, the result would be 12.
The accepted answer is 12.
To understand Order of Operations follow the BODMAS rule:
B rakets first
O If a fration of a number is required, you complete that next
Division
Multiplication
Addition
Subtraction
HAVE A GO AT THESE EXAMPLES:
a) 5 + 6 x 2 =
b) 6 + (5-4)=
c) 9 x 2 + 6
Answers:
Place Value
a) 30
b) 90,000
c) 2,000
Addition
a) 111
b) 7777
c) 198
Subtraction
a) 20
b) 802
c) 75
Multiplication
a) 270
b) 261
c) 48
Division
a) 11
b) 20202
c) 10 r3
Order of Operations
a) 17
b) 7
c) 24